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Bulk-boundary correspondence has achieved a great success in the identification of topological states. However, this elegant strategy doesn't apply to the Dirac semimetals (DSMs). Here, we propose that kagome lattices Pd$_3$Pb$_2$X$_2$ (X =…

Materials Science · Physics 2022-11-10 Simin Nie , Jia Chen , Changming Yue , Congcong Le , Danwen Yuan , Wei Zhang , Hongming Weng

Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Ziming Zhu , Zhi-Ming Yu , Weikang Wu , Lifa Zhang , Wei Zhang , Fan Zhang , Shengyuan A. Yang

In topological semimetals, nodes appear at symmetry points in the Brillouin zone as a result of band inversion, and yield quasi-relativistic massless fermions at low energies. Cd3As2 is a three-dimensional topological semimetal that hosts…

The close approach of the Fermi energy EF of a Dirac semimetal to the Dirac point ED uncovers new physics such as velocity renormalization,1,2,3 and the Dirac plasma 4,5 at |EF -ED| < kBT, where kBT is the thermal energy. In graphene,…

Bulk Dirac semimetals (DSMs) exhibit unconventional transport properties and phase transitions due to their peculiar low-energy band structure. Yet the electronic interactions governing nonequilibrium phenomena in DSMs are not fully…

Materials Science · Physics 2023-05-24 Dhruv C. Desai , Jinsoo Park , Jin-Jian Zhou , Marco Bernardi

We study the semi-metal/insulator quantum phase transition in three-dimensional Dirac semi-metals by solving a set of Schwinger-Dyson equations. We study the effect of an anisotropic fermion velocity on the critical coupling of the…

Strongly Correlated Electrons · Physics 2023-10-24 Margaret E. Carrington , Wade N. Cowie , Brett A. Meggison

We theoretically show that the coupling of inhomogeneous strains to the Dirac fermions of three-dimensional topological insulators (3DTI) in thin film geometries results in the occurrence of phase transitions between topologically distinct…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Raffaele Battilomo , Niccoló Scopigno , Carmine Ortix

We propose a new concept of two-dimensional (2D) Dirac semiconductor which is characterized by the emergence of fourfold degenerate band crossings near the band edge and provide a generic approach to realize this novel semiconductor in the…

Materials Science · Physics 2022-02-02 Botao Fu , Chao He , Da-Shuai Ma , Zhi-Ming Yu , Yong-Hong Zhao , Yugui Yao

Recently, higher-order topological matter and 3D quantum Hall effects have attracted great attention. The Fermi-arc mechanism of the 3D quantum Hall effect proposed in Weyl semimetals is characterized by the one-sided hinge states, which do…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Rui Chen , Tianyu Liu , C. M. Wang , Hai-Zhou Lu , X. C. Xie

Quantum metric, a fundamental component of quantum geometry, has attracted broad interest in recent years due to its critical role in various quantum phenomena. Meanwhile, band topology, which serves as an important framework in condensed…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Xun-Jiang Luo , Xing-Lei Ma , K. T. Law

The discovery of topological semimetal phase in three-dimensional (3D) systems is a new breakthrough in topological material research. Dirac nodal-line semimetal is one of the three topological semimetal phases discovered so far; it is…

Materials Science · Physics 2016-07-06 Jin Hu , Zhijie Tang , Jinyu Liu , Xue Liu , Yanglin Zhu , David Graf , Yanmeng Shi , Shi Che , Chun Ning Lau , Jiang Wei , Zhiqiang Mao

The electric field induced quantum phase transition from topological to conventional insulator has been proposed as the basis of a topological field effect transistor [1-4]. In this scheme an electric field can switch 'on' the ballistic…

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

We study the properties of Dirac fermions on the surface of a topological insulator in the presence of crossed electric and magnetic fields. We provide an exact solution to this problem and demonstrate that, in contrast to their…

Strongly Correlated Electrons · Physics 2013-05-29 S. Mondal , D. Sen , K. Sengupta , R. Shankar

Time-reversal invariance and inversion symmetry are responsible for the topological band structure in Dirac semimetals. These symmetries can be broken by applying an external magnetic or electric field, resulting in fundamental changes to…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Run Xiao , Saurav Islam , Wilson Yanez , Yongxi Ou , Nitin Samarth , Haiwen Liu , X. C. Xie , Juan Chamorro , Tyrel M. McQueen

Condensed matter systems in low dimensions exhibit emergent physics that does not exist in three dimensions. When electrons are confined to one dimension (1D), some significant electronic states appear, such as charge density wave,…

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Realization of tunable superconductivity with concomitant nontrivial band topology is conceptually intriguing and highly desirable for superconducting devices and topological quantum computation. Based on first-principles calculations, here…

Superconductivity · Physics 2023-08-16 Jianyong Chen , Ping Cui , Zhenyu Zhang

Chemically realistic quasi-one-dimensional (1D) materials in which Dirac fermions and highly degenerate flat bands coexist intrinsically at the Fermi level are exceedingly rare, while representing a highly desirable platform for correlated…

Materials Science · Physics 2026-03-19 Shivam Sharma , Chenhaoyue Wang , Hsuan Ming Yu , Amartya S. Banerjee

Chiral topological semimetals host multifold degenerate band crossing points under the protection of crystalline symmetries. In this paper, we suggest that the recently discovered chiral topological semimetals in space group 198, parts of…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Yingyi Huang , Shao-Kai Jian
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